Ryan wishes Romney would run again in 2016

8/24/14 11:00 AM EDT

Wisconsin Rep. Paul Ryan said on Sunday he wishes former Republican presidential nominee Mitt Romney would run a third time in 2016 but didn't rule out the possibility of seeking the White House himself.

"I sure wish he would," the Republican House Budget Committee chairman and former vice presidential nominee said on CBS' "Face the Nation." "I think he'd make a phenomenal president. He has the intellect, the honor, the character and the temperament to be a fantastic president. ... But he keeps saying that he's not going to run."

On his own plans, the congressman said: "As far as myself and my family, this is a decision we're going to take very seriously and weigh in 2015, so I just don't know the answer to your question at this time."

Ryan said he'd support Sens. Rand Paul of Kentucky or Ted Cruz of Texas if either became the Republican presidential nominee but added he believes there will be a number of alternatives. "I would support either of those people if they were to become our Republican nominee," Ryan said. "I think that there are going to be a lot of other people in this race."